Linear Operators and Their Essential Pseudospectra

ISBN-13: 9781774634004 / Angielski / Miękka / 2021 / 352 str.

Aref Jeribi

Opis

This volume provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied. This volume presents a survey of results concerning various types of essential

Spis treści

Introduction

Fundamentals

Spectra

Perturbation of Unbounded Linear Operators by Relative Boundedness

Essential Spectra

S-Essential Spectra of Closed Linear Operator on a Banach Space

S-Essential Spectrum and Measure of Non-Strict-Singularity

S-Pseudospectra and Structured S-Pseudospectra

Structured Essential Pseudospectra

Structured Essential Pseudospectra and Measure of Noncompactness

A Characterization of the Essential Pseudospectra

Conditional Pseudospectra

O autorze

Aref Jeribi, PhD, is Professor in the Department of Mathematics at the University of Sfax, Tunisia. He is the author of the book Spectral Theory and Applications of Linear Operators and Block Operator Matrices (2015) and co-author of the book Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications (CRC Press, 2015). He has published many journal articles in international journals. His areas of interest include spectral theory, matrice operators, transport theory, Gribov operator, Bargman space, fixed point theory, Riesz basis, and linear relations.